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Volumn 24, Issue 2, 2005, Pages 277-304

A global lipschitz continuity result for a domain dependent dirichlet eigenvalue problem for the laplace operator

Author keywords

Dirichlet eigenvalues and eigenvectors; Domain perturbation; Laplace operator; Special nonlinear operators

Indexed keywords


EID: 27144518421     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1240     Document Type: Article
Times cited : (13)

References (19)
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    • Burenkov, V.I.1    Davies, E.B.2
  • 4
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    • Cox, S.J.1
  • 8
    • 0004315942 scopus 로고    scopus 로고
    • Perturbation of the boundary in boundary-value problems of partial differential equations
    • Cambridge: Cambridge University Press
    • Henry, D.: Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations. London Mathematical Society Lecture Notes No. 318. Cambridge: Cambridge University Press 2005.
    • (2005) London Mathematical Society Lecture Notes No. 318 , vol.318
    • Henry, D.1
  • 10
    • 0000328519 scopus 로고
    • Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds
    • Minakshisundaram, S. and Å. Pleijel: Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds. Canadian J. Math. 1 (1949), 242-256.
    • (1949) Canadian J. Math. , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Pleijel, Å.2
  • 12
    • 0005770287 scopus 로고
    • Convexity of functional by transplantation
    • Pólya, G. and M. Schiffer: Convexity of functional by transplantation. J. d'Analyse Math. 3 (1954), 245-346.
    • (1954) J. d'Analyse Math. , vol.3 , pp. 245-346
    • Pólya, G.1    Schiffer, M.2
  • 13
    • 0005556129 scopus 로고
    • Dipendenza dal dominio degli autovalori dell'operatore di Laplace
    • Prodi, G.: Dipendenza dal dominio degli autovalori dell'operatore di Laplace. Istit. Lombardo Accad. Sci. Lett. Rend. A 128 (1994), 3-18.
    • (1994) Istit. Lombardo Accad. Sci. Lett. Rend. A , vol.128 , pp. 3-18
    • Prodi, G.1
  • 14
    • 0005220557 scopus 로고
    • Space mappings with bounded distortion
    • Providence: Amer. Math. Soc.
    • Reshetnyak, Yu. G.: Space Mappings with Bounded Distortion. Translations of Mathematical Monographs 73. Providence: Amer. Math. Soc. 1989.
    • (1989) Translations of Mathematical Monographs , vol.73
    • Reshetnyak, Yu.G.1
  • 15
    • 0010971117 scopus 로고
    • On the distribution of eigenvalues of the first boundary value problem in unbounded regions
    • Rozenbljum, G. V.: On the distribution of eigenvalues of the first boundary value problem in unbounded regions. Sov. Math. Dokl. 12 (1971), 1539-1542.
    • (1971) Sov. Math. Dokl. , vol.12 , pp. 1539-1542
    • Rozenbljum, G.V.1
  • 19
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    • Variational Methods for eigenvalue approximation
    • Philadelphia: SIAM
    • Weinberger, H. F.: Variational Methods for eigenvalue approximation. Regional Conf. Ser. Appl. Math. 15. Philadelphia: SIAM 1974.
    • (1974) Regional Conf. Ser. Appl. Math. , vol.15
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.